Question

8 What happens to the stepwise increasing speed-time graph when the size of each step is made very small ?

9. Why is the motion of a particle along a circular path with a uniform speed said to be an accelerated motion ?
10. How is the linear speed of a particle moving along a circular path related to its angular velocity?​

Answer 1

Answer:

8. the speed is low and time is more

9. Uniform circular motion is accelerated because the velocity changes due to continuous change in the direction of motion. ... Thus, for a body moving in a circular path at a constant speed, its velocity changes continuously. The change in velocity gives rise to an acceleration in the moving body

10. Let :

( v ) => Linear Velocity .

( ω ) => Angular Velocity .

There is a relation between linear displacement and angular displacement .

let angular displacement be ( x )

Angle which is moved by particle (  θ )

radius ( r )

=>  θ = x / r

=> x = r θ ------( 1 )

in this equation ( 1 ) divide both side by ( t ) time

=> x / t = rθ/t

=> x / t. = v ,,  θ/t. = ω

v = rω

Hence the relation between angular velocity and linear velocity is :-

➡ v = r × ω